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Finding the Fourth Proportional to 6,419.99, 8,856.36 and 4,431.65

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Solution

The fourth proportional to 6,419.99, 8,856.36 and 4,431.65 is: 6,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.99 : 8,856.36 = 4,431.65 : x
  2. Step 2: Convert to fraction form
    6,419.99/8,856.36 = 4,431.65/x
  3. Step 3: Cross multiply
    6,419.99x = 8,856.36 × 4,431.65
  4. Step 4: Simplify right side
    6,419.99x = 39,248,287.79
  5. Step 5: Solve for x
    x = 39,248,287.79/6,419.99
  6. Step 6: Final answer
    x = 6,113.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.